Chapter 10 —Relevant Information for Decision MakingMULTIPLE CHOICE 1. Costs forgone when an individual or organization chooses one option ov er another are a. budgeted costs. b. sunk costs. c. historical costs. d. opportunity costs. ANS: D PTS: 1 DIF: Easy OBJ: 10-1 NAT: AACSB: Reflective Thinki ng LOC: AICPA Functiona l Competenci es: Decisi on Modeling2. Which of the following costs would not be accounted for in a company's recordkeeping system? a. an unexpired cost b. an expired cost c. a product cost d. an opportunity cost ANS: D PTS: 1 DIF: Easy OBJ: 10-1 NAT: AACSB: Reflective Thinki ng LOC: AICPA Functiona l Competenci es: Decisi on Modeling3. Which of the following is not a characteristic of relevant costing information? It is a. associated with the decision under consideration. b. significant to the deci sion maker. c. readily quantifiable. d. related to a future endeavor. ANS: C PTS: 1 DIF: Easy OBJ: 10-1 NAT: AACSB: Reflective Thinki ng LOC: AICPA Functiona l Competenci es: Decision Modeling
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2. Which of the following costs would not be accounted for in a company's recordkeeping system?a. an unexpired cost b. an expired costc. a product costd. an opportunity cost
3. Which of the following is not a characteristic of relevant costing information? It isa. associated with the decision under consideration. b. significant to the decision maker.c. readily quantifiable.d. related to a future endeavor.
5. Relevant costs area. all fixed and variable costs. b. all costs that would be incurred within the relevant range of production.c. past costs that are expected to be different in the future.d. anticipated future costs that will differ among various alternatives.
6. Which of the following is the least likely to be a relevant item in deciding whether to replace an oldmachine?a. acquisition cost of the old machine b. outlay to be made for the new machinec. annual savings to be enjoyed on the new machined. life of the new machine
8. Which of the following costs would be relevant in short-term decision making?a. incremental fixed costs b. all costs of inventoryc. total variable costs that are the same in the considered alternativesd. the cost of a fixed asset that could be used in all the considered alternatives
9. The term incremental cost refers toa. the profit foregone by selecting one choice instead of another. b. the additional cost of producing or selling another product or service.c. a cost that continues to be incurred in the absence of activity.d. a cost common to all choices in question and not clearly or feasibly allocable to any of
11. Most ____ are relevant to decisions to acquire capacity, but not to short-run decisions involving theuse of that capacity.a. sunk costs b. incremental costsc. fixed costsd. prime costs
13. In deciding whether an organization will keep an old machine or purchase a new machine, a manager
would ignore thea. estimated disposal value of the old machine. b. acquisition cost of the old machine.c. operating costs of the new machine.d. estimated disposal value of the new machine.
14. The potential rental value of space used for production activitiesa. is a variable cost of production. b. represents an opportunity cost of production.c. is an unavoidable cost.d. is a sunk cost of production.
15. The opportunity cost of making a component part in a factory with excess capacity for which there isno alternative use isa. the total manufacturing cost of the component. b. the total variable cost of the component.c. the fixed manufacturing cost of the component.d. zero.
17. In a make or buy decision, the opportunity cost of capacity coulda. be considered to decrease the price of units purchased from suppliers. b. be considered to decrease the cost of units manufactured by the company.c. be considered to increase the price of units purchased from suppliers.d. not be considered since opportunity costs are not part of the accounting records.
19. In a make or buy decision, the reliability of a potential supplier isa. an irrelevant decision factor. b. relevant information if it can be quantified.c. an opportunity cost of continued production.d. a qualitative decision factor.
20. Which of the following qualitative factors favors the buy choice in a make or buy decision for a part?a. maintaining a long-term relationship with suppliers b. quality control is criticalc. utilization of idle capacityd. part is critical to product
21. When a scarce resource, such as space, exists in an organization, the criterion that should be used to
determine production isa. contribution margin per unit. b. selling price per unit.c. contribution margin per unit of scarce resource.d. total variable costs of production.
23. Which of the following activities within an organization would be least likely to be outsourced?a. accounting b. data processingc. transportationd. product design
24. An outside firm selected to provide services to an organization is called aa. contract vendor. b. lessee.c. network organization.d. centralized insourcer.
25. Fixed costs are ignored in allocating scarce resources becausea. they are sunk. b. they are unaffected by the allocation of scarce resources.c. there are no fixed costs associated with scarce resources.d. fixed costs only apply to long-run decisions.
26. The minimum selling price that should be acceptable in a special order situation is equal to totala. production cost. b. variable production cost.c. variable costs.
27. Which of the following costs is irrelevant in making a decision about a special order price if some of the company facilities are currently idle?a. direct labor b. equipment depreciationc. variable cost of utilitiesd. opportunity cost of production
28. The ____ prohibits companies from pricing products at different amounts unless these differencesreflect differences in the cost to manufacture, sell, or distribute the products.a. Internal Revenue Service b. Governmental Accounting Officec. Sherman Antitrust Actd. Robinson-Patman Act
29. An ad hoc sales discount isa. an allowance for an inferior quality of marketed goods. b. a discount that an ad hoc committee must decide on.c. brought about by competitive pressures.d. none of the above.
30. A manager is attempting to determine whether a segment of the business should be eliminated. Thefocus of attention for this decision should be ona. the net income shown on the segment's income statement. b. sales minus total expenses of the segment.c. sales minus total direct expenses of the segment.d. sales minus total variable expenses and avoidable fixed expenses of the segment.
31. Assume a company produces three products: A, B, and C. It can only sell up to 3,000 units of each product. Production capacity is unlimited. The company should produce the product (or products) that
has (have) the highesta. contribution margin per hour of machine time. b. gross margin per unit.c. contribution margin per unit.d. sales price per unit.
35. In evaluating the profitability of a specific organizational segment, all ____ would be ignored.a. segment variable costs b. segment fixed costsc. costs allocated to the segmentd. period costs
36. Anderson Company uses 10,000 units of a part in its production process. The costs to make a part are:direct material, $12; direct labor, $25; variable overhead, $13; and applied fixed overhead, $30.Anderson has received a quote of $55 from a potential supplier for this part. If Anderson buys the part,
70 percent of the applied fixed overhead would continue. Anderson Company would be better off bya. $50,000 to manufacture the part. b. $150,000 to buy the part.c. $40,000 to buy the part.d. $160,000 to manufacture the part.
ANS: C
Cost to buy: $55/unit * 10,000 units = $550,000Cost to manufacture: $(12+25+13+9)= $59/unitIncremental difference in favor of buying: $4/unit * 10,000 units = $40,000
37. Credell Company uses 12,000 units of a part in its production process. The costs to make a part are:direct material, $15; direct labor, $27; variable overhead, $15; and applied fixed overhead, $32.Anderson has received a quote of $60 from a potential supplier for this part. If Credell buys the part,75 percent of the applied fixed overhead would continue. Credell Company would be better off bya. $30,000 to manufacture the part. b. $348,000 to buy the part.c. $60,000 to buy the part.d. $216,000 to manufacture the part.
ANS: CCost to buy: $60/unit * 12,000 units = $720,000Cost to manufacture: $(15+27+15+8)= $65/unitIncremental difference in favor of buying: $5/unit * 12,000 units = $60,000
38. Thomas Company has only 25,000 hours of machine time each month to manufacture its two products.Product X has a contribution margin of $50, and Product Y has a contribution margin of $64. ProductX requires 5 hours of machine time, and Product Y requires 8 hours of machine time. If ThomasCompany wants to dedicate 80 percent of its machine time to the product that will provide the most
income, the company will have a total contribution margin of a. $250,000. b. $240,000.c. $210,000.d. $200,000.
ANS: B
Assume 80% of capacity applied to Product X
X: 20,000 hrs/5 hrs per unit 4,000 units * $50 CM/unit $200,000
Y: 5,000 hrs/8 hrs per unit 625 units * $64 CM/unit 40,000
39. Henke Company has only 30,000 hours of machine time each month to manufacture its two products.Product X has a contribution margin of $60, and Product Y has a contribution margin of $72. ProductX requires 6 hours of machine time, and Product Y requires 10 hours of machine time. If ThomasCompany wants to dedicate 85 percent of its machine time to the product that will provide the mostincome, the company will have a total contribution margin of a. $216,000 b. $228,600.c. $287,400d. $300,000
ANS: C
Assume 85% of capacity applied to Product X
X: 25,500 hrs/6 hrs per unit 4,250 units * $60 CM/unit $255,000
Y: 4,500 hrs/10 hrs per unit 450 units * $72 CM/unit 32,400
40. Swanson Company has 3 divisions: X, Y, and Z. Division X's income statement shows the followingfor the year ended December 31:
Sales $1,000,000
Cost of goods sold (800,000)
Gross profit $ 200,000
Selling expenses $100,000
Administrative expenses 250,000 (350,000)
Net loss $ (150,000)
Cost of goods sold is 75 percent variable and 25 percent fixed. Of the fixed costs, 60 percent areavoidable if the division is closed. All of the selling expenses relate to the division and would be
eliminated if Division X were eliminated. Of the administrative expenses, 90 percent are applied fromcorporate costs. If Division X were eliminated, Swanson’s income would a. increase by $150,000. b. decrease by $ 75,000.c. decrease by $155,000.d. decrease by $215,000.
41. Calvert Company has 3 divisions: A, B, and C. Division A's income statement shows the following for the year ended December 31:
Sales $1,500,000
Cost of goods sold (1,125,000)
Gross profit $ 375,000
Selling expenses $125,000
Administrative expenses 350,000 (475,000)
Net loss $ (100,000)
Cost of goods sold is 80 percent variable and 20 percent fixed. Of the fixed costs, 50 percent areavoidable if the division is closed. All of the selling expenses relate to the division and would beeliminated if Division A were eliminated. Of the administrative expenses, 85 percent are applied fromcorporate costs. If Division A were eliminated, Calvert’s income would a. increase by $100,000. b. decrease by $197,500.c. decrease by $310,000.d. decrease by $422,500.
42. Haskins Company is currently operating at a loss of $15,000. The sales manager has received a specialorder for 5,000 units of product, which normally sells for $35 per unit. Costs associated with the product are: direct material, $6; direct labor, $10; variable overhead, $3; applied fixed overhead, $4;and variable selling expenses, $2. The special order would allow the use of a slightly lower grade of direct material, thereby lowering the price per unit by $1.50 and selling expenses would be decreased by $1. If Haskins wants this special order to increase the total net income for the firm to $10,000, whatsales price must be quoted for each of the 5,000 units?a. $23.50 b. $24.50
c. $27.50d. $34.00
ANS: AIn order to increase income to $10,000, there must be an increase of $25,000 or $5 per unit.
43. Lawson Company produces a part that has the following costs per unit:
Direct material $ 8
Direct labor 3
Variable overhead 1
Fixed overhead 5
Total $17
Crest Corporation can provide the part to Lawson for $19 per unit. Lawson Company has determinedthat 60 percent of its fixed overhead would continue if it purchased the part. However, if Lawson nolonger produces the part, it can rent that portion of the plant facilities for $60,000 per year. LawsonCompany currently produces 10,000 parts per year. Which alternative is preferable and by whatmargin?a. Make-$20,000 b. Make-$50,000c. Buy-$10,000d. Buy-$40,000
44. Guillory Company produces a part that has the following costs per unit:
Direct material $ 9
Direct labor 4
Variable overhead 2
Fixed overhead 6
Total $21
Homeland Corporation can provide the part to Guillory for $23 per unit. Guillory Company hasdetermined that 50 percent of its fixed overhead would continue if it purchased the part. However, if Guillory no longer produces the part, it can rent that portion of the plant facilities for $70,000 per year.Guillory Company currently produces 12,000 parts per year. Which alternative is preferable and bywhat margin?a. Make-$24,000 b. Make-$60,000c. Buy-$10,000d. Buy-$46,000
45. Criswell Company has 15,000 units in inventory that had a production cost of $3 per unit. These unitscannot be sold through normal channels due to a significant technology change. These units could bereworked at a total cost of $23,000 and sold for $28,000. Another alternative is to sell the units to a junk dealer for $8,500. The relevant cost for Criswell to consider in making its decision isa. $45,000 of original product costs. b. $23,000 for reworking the units.c. $68,000 for reworking the units.d. $28,000 for selling the units to the junk dealer.
ANS: B
Only the actual reworking costs are relevant. Original purchase costs are irrelevant.
46. Ezell Company has 20,000 units in inventory that had a production cost of $4 per unit. These unitscannot be sold through normal channels due to a significant technology change. These units could bereworked at a total cost of $30,000 and sold for $35,000. Another alternative is to sell the units to a junk dealer for $10,500. The relevant cost for Ezell to consider in making its decision isa. $80,000 of original product costs. b. $30,000 for reworking the units.c. $110,000 for reworking the units.d. $35,000 for selling the units to the junk dealer.
ANS: BOnly the actual reworking costs are relevant. Original purchase costs are irrelevant.
Kellman Corporation sells a product for $18 per unit, and the standard cost card for the product showsthe following costs:
Direct material $ 1
Direct labor 2Overhead (80% fixed) 7
Total $10
47. Refer to Kellman Corporation. Kellman received a special order for 1,000 units of the product. Theonly additional cost to Kellman would be foreign import taxes of $1 per unit. If Kellman is able to sellall of the current production domestically, what would be the minimum sales price that Kellman wouldconsider for this special order?a. $18.00 b. $11.00c. $5.40d. $19.00
ANS: D
The company would increase its minimum sales price to reflect the foreign import tax of $1 per unit.
48. Refer to Kellman Corporation. Assume that Kellman has sufficient idle capacity to produce the 1,000units. If Kellman wants to increase its operating profit by $5,600, what would it charge as a per-unitselling price?a. $18.00
b. $10.00c. $11.00d. $16.60
ANS: C
The company would want to charge a price equal to a per unit profit of $5.60 plus variablecosts per unit of $4.40 and the import tax per unit of $1.00. The total price is $11.00.
Waldrup Corporation sells a product for $21 per unit, and the standard cost card for the product showsthe following costs:
Direct material $ 2
Direct labor 3
Overhead (70% fixed) 10
Total $15
49. Refer to Waldrup Corporation. Waldrup received a special order for 1,200 units of the product. Theonly additional cost to Waldrup would be foreign import taxes of $2 per unit. If Waldrup is able to sellall of the current production domestically, what would be the minimum sales price that Waldrup wouldconsider for this special order?a. $10.00 b. $15.00c. $21.00d. $23.00
ANS: DThe company would increase its minimum sales price to reflect the foreign import tax of $2 per unit.
50. Refer to Waldrup Corporation. Assume that Waldrup has sufficient idle capacity to produce the 1,200units. If Waldrup wants to increase its operating profit by $6,000, what would it charge as a per-unitselling price?a. $15.00 b. $17.00
c. $21.00d. $23.00
ANS: A
The company would want to charge a price equal to a per unit profit of $5.00 plus variablecosts per unit of $8.00 and the import tax per unit of $2.00. The total price is $15.00.
51. Heavenly Hair Corporation makes and sells brushes and combs. It can sell all of either product it canmake. The following data are pertinent to each respective product:
Brushes CombsUnits of output per machine hour 8 20
Selling price per unit $12.00 $4.00
Product cost per unitDirect material $1.00 $1.20
Direct labor 2.00 0.10
Variable overhead 0.50 0.05
Total fixed overhead is $380,000.
The company has 40,000 machine hours available for production. What sales mix will maximize profits?a. 320,000 brushes and 0 combs b. 0 brushes and 800,000 combsc. 160,000 brushes and 600,000 combsd. 252,630 brushes and 252,630 combs
ANS: A
Brushes have a contribution margin of $8.50 per unit; combs have a contribution margin of $2.65 per unit.
The combination of 320,000 brushes and 0 combs provides a net profit of $2,340,000 anddoes not violate the machine hours constraint.
52. Broncho Boot Corporation has been asked to submit a bid on supplying 1,000 pairs of military combat boots to the Armed Forces Training Center. The company's costs per pair of boots are as follows:
Direct material $8Direct labor 6
Variable overhead 3
Variable selling cost (commission) 3
Fixed overhead (allocated) 2
Fixed selling and administrative cost 1
Assuming that there would be no commission on this potential sale, the lowest price the firm can bid issome price greater thana. $23. b. $20.c. $17.
d. $14.
ANS: C
The lowest price would have to be greater than the sum of all variable manufacturing costs.Variable manufacturing costs total $17; therefore the price would have to be greater than $17 per pair.
53. Green Industries has two sales territories-North and South. Financial information for the two territoriesis presented below:
North SouthSales $980,000 $750,000
Direct costs:Variable (343,000) (225,000)
Fixed (450,000) (325,000)
Allocated common costs (275,000) (175,000)
Net income (loss) $(88,000) $ 25,000
Because the company is in a start-up stage, corporate management feels that the North sales territory iscreating too much of a cash drain on the company and it should be eliminated. If the North territory isdiscontinued, one sales manager (whose salary is $40,000 per year) will be relocated to the Southterritory. By how much would Green's income change if the North territory is eliminated?a. increase by $88,000 b. increase by $48,000c. decrease by $267,000d. decrease by $227,000
Atlanta Motors is trying to decide whether it should keep its existing car washing machine or purchasea new one that has technological advantages (which translate into cost savings) over the existingmachine. Information on each machine follows:
Old machine New machineOriginal cost $9,000 $20,000
Accumulated depreciation 5,000 0
Annual cash operating costs 9,000 4,000
Current salvage value of old machine 2,000
Salvage value in 10 years 500 1,000
Remaining life 10 yrs. 10 yrs.
54. Refer to Atlanta Motors. The $4,000 of annual operating costs that are common to both the old and thenew machine are an example of a(n)a. sunk cost. b. irrelevant cost.c. future avoidable cost.d. opportunity cost.
55. Refer to Atlanta Motors. The $20,000 cost of the new machine represents a(n)a. sunk cost. b. future relevant cost.c. future irrelevant cost.d. opportunity cost.
56. Refer to Atlanta Motors. The estimated $500 salvage value of the existing machine in 10 yearsrepresents a(n)a. sunk cost. b. opportunity cost of selling the existing machine now.c. opportunity cost of keeping the existing machine for 10 years.d. opportunity cost of keeping the existing machine and buying the new machine.
Brooklyn Bakers is trying to decide whether it should keep its existing bread-making machine or purchase a new one that has technological advantages (which translate into cost savings) over theexisting machine. Information on each machine follows:
Old machine New machineOriginal cost $10,000 $25,000
58. Refer to Brooklyn Bakers. The $5,000 of annual operating costs that are common to both the old andthe new machine are an example of a(n)a. sunk cost. b. irrelevant cost.c. future avoidable cost.d. opportunity cost.
59. Refer to Brooklyn Bakers. The $10,000 cost of the original machine represents a(n)a. sunk cost. b. future relevant cost.c. historical relevant cost.d. opportunity cost.
60. Refer to Brooklyn Bakers. The estimated $650 salvage value of the existing machine in 10 yearsrepresents a(n)a. sunk cost. b. opportunity cost of selling the existing machine now.c. opportunity cost of keeping the existing machine for 10 years.d. opportunity cost of keeping the existing machine and buying the new machine.
Kenwood Electronics Corporation manufactures and sells FM radios. Information on the prior year'soperations (sales and production Model A1) is presented below:
Sales price per unit $30
Costs per unit:Direct material 7
Direct labor 4
Overhead (50% variable) 6
Selling costs (40% variable) 10
Production in units 10,000
Sales in units 9,500
62. Refer to Kenwood Electronics Corporation. The Model B2 radio is currently in production and itrenders the Model A1 radio obsolete. If the remaining 500 units of the Model A1 radio are to be soldthrough regular channels, what is the minimum price the company would accept for the radios?a. $30 b. $27c. $18d. $4
63. Refer to Kenwood Electronics Corporation. Assume that the remaining Model A1 radios can be soldthrough normal channels or to a foreign buyer for $6 per unit. If sold through regular channels, theminimum acceptable price will bea. $30. b. $33.
c. $10.d. $4.
ANS: C
$10 will cover the price to the foreign buyer plus the $4 in variable selling expenses.
64. Refer to Memory Division of Missing Byte, Inc. Assume, for this question only, that the MemoryDivision is producing and selling at capacity. What is the minimum selling price that the divisionwould consider on a "special order" of 1,000 chips on which no variable period costs would beincurred?a. $100 b. $72c. $81d. $94
ANS: DVariable period costs are $6 ($15 * 40% variable)The minimum selling price would have to be greater than the current sales price less theavoidable SG&A costs.$(100 - 6) = $94 per unit
65. Refer to Memory Division of Missing Byte, Inc. Assume, for this question only, that the MemoryDivision is operating at a level of 70,000 chips per year. What is the minimum price that the divisionwould consider on a "special order" of 1,000 chips to be distributed through normal channels?
a. $78 b. $95c. $100d. $81
ANS: A
The price would have to cover all variable costs.$(50 + 20 + 2 + 6) = $78 per unit
66. Refer to Memory Division of Missing Byte, Inc. Assume, for this question only, that the MemoryDivision is presently operating at a level of 80,000 chips per year. Accepting a "special order" on2,000 chips at $88 willa. increase total corporate profits by $4,000. b. increase total corporate profits by $20,000.c. decrease total corporate profits by $14,000.d. decrease total corporate profits by $24,000.
ANS: B
$(88 - 78) = $10 profit per unit * 2,000 units = $20,000 profit increase
The capital budgeting committee of the Galveston Pipe Corporation is evaluating the possibility of replacing its old pipe-bending machine with a more advanced model. Information on the existingmachine and the new model follows:
Existing machine New machineOriginal cost $200,000 $400,000
Market value now 80,000
Market value in year 5 0 20,000
Annual cash operating costs 40,000 10,000
Remaining life 5 yrs. 5 yrs.
67. Refer to Galveston Pipe Corporation. The major opportunity cost associated with the continued use of the existing machine isa. $30,000 of annual savings in operating costs. b. $20,000 of salvage in 5 years on the new machine.c. lost sales resulting from the inefficient existing machine.d. $400,000 cost of the new machine.
68. Refer to Galveston Pipe Corporation. The $80,000 market value of the existing machine isa. a sunk cost. b. an opportunity cost of selling the old machine.c. irrelevant to the equipment replacement decision.d. a historical cost.
69. Refer to Galveston Pipe Corporation. If the company buys the new machine and disposes of theexisting machine, corporate profit over the five-year life of the new machine will be ____ than the profit that would have been generated had the existing machine been retained for five years.a. $150,000 lower b. $170,000 lower c. $230,000 lower d. $150,000 higher
70. Edmond Corporation has been manufacturing 5,000 units of Part 10541, which is used in themanufacture of one of its products. At this level of production, the cost per unit of manufacturing Part10541 is as follows:
Direct material $ 2
Direct labor 8
Variable overhead 4
Fixed overhead applied 6
Total $20
Arcadia Company has offered to sell Edmond 5,000 units of Part 10541 for $19 a unit. Edmond hasdetermined that it could use the facilities currently used to manufacture Part 10541 to manufacture PartRAC and generate an operating profit of $4,000. Edmond has also determined that two-thirds of thefixed overhead applied will continue even if Part 10541 is purchased from Arcadia. To determine
whether to accept Arcadia’s offer, the net relevant costs to make are a. $70,000. b. $84,000.c. $90,000.d. $95,000.
ANS: B
The relevant costs are the variable costs per unit as well as the portion of fixed overhead thatwill be avoided for Part 10541.Variable costs = $14 per unitFixed overhead = $ 2 per unit5,000 units * $16 per unit = $80,000 + Profit from RAC = $ 4,000
71. Tripoli Corporation manufactures batons. Tripoli can manufacture 300,000 batons a year at a variablecost of $750,000 and a fixed cost of $450,000. Based on Tripoli's predictions, 240,000 batons will be
sold at the regular price of $5.00 each. In addition, a special order was placed for 60,000 batons to besold at a 40 percent discount off the regular price. The unit relevant cost per unit for Tripoli's decisionisa. $1.50. b. $2.50.c. $3.00.d. $4.00.
ANS: B
The relevant costs will be the variable costs per unit.$750,000/300,000 units = $2.50/unit
72. The objective in solving the linear programming problem is to determine the optimal levels of thea. coefficients. b. dependent variables.c. independent variables.d. slack variables.
73. A linear programming problem can havea. no more than three resource constraints. b. only one objective function.c. no more than two dependent variables for each constraint equation.d. no more than three independent variables.
74. A linear programming model musta. have only one objective function. b. have as many independent variables as it has constraint equations.c. have at least two dependent variables for each equation.d. consider only the constraints that can be expressed as inequalities.
75. In a linear programming problem, constraints are indicated bya. the independent variables. b. the dependent variables in the constraint equations.c. the coefficients of the objective function.
76. The feasible region for an LP solution isa. defined only by binding constraints on the optimal solution. b. defined as the solution space that satisfies all constraints.c. identified by iso-cost and iso-profit lines.d. identified by all of the above.
77. A linear programming solutiona. always involves more than one constraint. b. always involves a corner point.c. is the one with the highest vertex coordinates.d. is provided by the input-output coefficients.
78. The objective function and the resource constraints have the samea. dependent variables. b. coefficients.c. independent variables.d. all of the above.
81. ____ programming relates to a variety of techniques that are used to allocate limited resources amongactivities to achieve a specific objective.a. Integer b. Input-outputc. Mathematicald. Regression
83. The feasible region for a graphical solution to a profit maximization problem includesa. all vertex points. b. all points on every resource constraint line.c. the origin.d. all of the above.
85. Refer to Majestic Corporation. What is the feasible range for the production of Y?a. 840 to 1,500 units b. 0 to 840 unitsc. 0 to 631 unitsd. 0 to 1500 units
ANS: B
840 units is the most that can be produced without violating Constraint 1.
86. Refer to Majestic Corporation. A solution of X = 500 and Y = 600 would violatea. Constraint 1. b. Constraint 2.c. both constraints.d. neither constraint.
ANS: A
This solution would yield a result of 4,500; this violates Constraint 1.
87. One constraint in an LP problem is: 12X + 7Y > 4,000. If the optimal solution is X = 100 and Y =500, this resource hasa. slack variable of 700. b. surplus variable of 700.c. output coefficient of 700.d. none of the above.
ANS: B
The solution to the constraint is 4,700, a surplus variable of 700.
88. Consider the following linear programming problem and assume that non-negativity constraints applyto the independent variables:
Max CM = $14X + $23YSubject toConstraint 1: 4X + 5Y < 3,200Constraint 2: 2X + 6Y < 2,400
Which of the following are feasible solutions to the linear programming problem?
a. X = 600, Y = 240 b. X = 800, Y = 640c. X = 0, Y = 400d. X = 1,200, Y = 0
ANS: C
This is the only solution that does not violate Constraints 1 or 2.Constraint 1: 4(0) + 5(400) = 2,000 < 3,200Constraint 2: 2(0) + 6(400) < 2,400 < 2,400